Simultaneous Generalizations of the Theorems of Ceva and Menelaus for Field Planes
IJMEST Volume 40, Number 8, ISSN 0020-739X
In 1992, Klamkin and Liu proved a very general result in the Extended Euclidean Plane that contains the theorems of Ceva and Menelaus as special cases. In this article, we extend the Klamkin and Liu result to projective planes "PG"(2, F) where F is a field. (Contains 2 figures.)
Houston, K.B. & Powers, R.C. (2009). Simultaneous Generalizations of the Theorems of Ceva and Menelaus for Field Planes. International Journal of Mathematical Education in Science and Technology, 40(8), 1085-1091.